In this work, a predictor–corrector compact difference scheme for a nonlinear fractional
differential equation is presented. The MacCormack method is provided to deal with …

The paper describes different approaches to generalize the trapezoidal method to fractional
differential equations. We analyze the main theoretical properties and we discuss …

A finite difference scheme which depends on a new approximation based on an extended
cubic B-spline for the second order derivative is used to calculate the numerical outcomes of …

This paper is concerned with the numerical solutions of the generalized time fractional
burgers equation. We propose a linear implicit finite difference scheme for solving the …

In this paper, we investigate the exact and numerical solutions of the time fractional Burgers'
equation. By using Cole–Hopf transformation and the method of variables separation, the …

This paper deals with the numerical solution utilizing local version of the meshless
collocation method for time-fraction Korteweg de Vries, Burgers' and Korteweg de Vries …

In this paper, based on the developed nonlinear fourth-order operator and method of order
reduction, a novel fourth-order compact difference scheme is constructed for the mixed-type …

The general time fractional Burger-Fisher (TF-BF) and the space–time regularized long-
wave (STF-RLW) equations are considered as examples of gravitational water waves in cold …

Many of the most interesting complex media are non-Newtonian and exhibit time-dependent
behavior of thixotropy and rheopecty. They may also have temporal responses described by …

Various formulas describing non-Darcy flow have been applied to quantify fluid flow in
natural geological media, while there is no universal law or formula that can reliably …